Use the frequency table to create a histogram of the data
Do you notice any patterns in the histogram? (uniform, symmetric, skewed)
Task 2:
Using the Hurricane data select 9 Hurricanes from the data and at least one from each month occurrence and determine the average wind speed of these 9 different hurricanes.
Hurricane Name
Maximum Sustained Winds (mph)
*Pick 9 Hurricanes off the “U5_Data_Hurricane” sheet
Find the mean, median, and mode of the data.
Mean: sum of all hurricane wind speeds9= =
Median: (put Max Sustained winds in order least to greatest and find the middle (5th one)
Mode: (does a number occur more than once? No mode is ok, 2 modes are ok)
Which measure of central tendency best describes the data? Explain your answer
(Choose mean if there is no outlier in the data, choose median if there is an outlier)
How fast would a 10th hurricane’s Sustained Winds have to be for the average speed to exceed 160 miles per hour (and change the hurricane classification to a Category 5 Hurricane)? Explain how you determined your answer.
sum of 9 Category 4 Hurricane sustained wind speed+x10=160…solve for x
No histogram. Cannot copy and paste here.
To create a histogram using a frequency table, you will need to follow these steps:
1. Review the frequency table and identify the data values and their corresponding frequencies.
2. Draw a horizontal axis (x-axis) to represent the data values.
3. Draw a vertical axis (y-axis) to represent the frequency.
4. Create rectangles or bars to represent each data value, with the height of each rectangle corresponding to its frequency.
5. Label the x-axis with the data values, and label the y-axis with the frequency.
6. Make sure there is no gap between the bars, as histograms are used to represent continuous data.
Now, analyzing the histogram, you can look for patterns to determine if it is uniform, symmetric, or skewed. A uniform histogram would show a relatively even distribution of data across all data values. A symmetric histogram would show a similar number of data values on both sides of the peak, forming a bell shape. A skewed histogram would show a concentration of data values on one side of the peak, indicating an asymmetrical distribution.
Moving on to Task 2, you need to select 9 hurricanes from the given Hurricane data, ensuring at least one hurricane from each month occurrence.
To find the average wind speed of these 9 different hurricanes, follow these steps:
1. Identify and select 9 hurricanes, ensuring at least one hurricane from each month.
2. Look for the Maximum Sustained Winds (mph) values for these 9 hurricanes.
3. Add up all the 9 Maximum Sustained Winds values.
4. Divide the sum by 9 to calculate the average wind speed.
To find the mean, median, and mode of the wind speed data, use the following steps:
Mean:
1. Add up all the 9 hurricane wind speeds.
2. Divide the sum by 9 to calculate the mean.
Median:
1. Arrange the 9 hurricane wind speeds in ascending order.
2. Find the middle value, which will be the median if the data is odd in number. If the data is even, calculate the average of the two middle values.
Mode:
1. Identify if any of the wind speed values occur more than once.
2. If there is a value that appears the most, it is the mode. If no value appears more than once, there is no mode.
Deciding which measure of central tendency best describes the data depends on the characteristics of the data. Choose the mean if there are no outliers in the data and the distribution is relatively symmetric. Choose the median if there are outliers present, as it is less affected by extreme values.
To determine the wind speed of the 10th hurricane needed for the average to exceed 160 miles per hour (mph) and change the hurricane classification to a Category 5 Hurricane, follow these steps:
1. Multiply the average wind speed of the 9 hurricanes by 9.
2. Subtract the product from 160 mph to find the needed wind speed for the 10th hurricane.
Using the formula: sum of 9 Category 4 Hurricane sustained wind speed + x/10 = 160, solve for x to determine the required speed for the 10th hurricane.